2 = tan(x)
what is x
You asked:
Solve the equation \(2 = \tan\left( x \right)\) for the variable \(x\).
MathBot Answer:
The principal value in \(- \frac{\pi}{2} < x < \frac{\pi}{2}\) is \(x \approx 1.1071487\)
The real solutions are: \[\begin{aligned}x &= \left\{2 \pi n + \arctan{\left(2 \right)}\; \middle|\; n \in \mathbb{Z}\right\} \approx \left\{6.2831853 n + 1.1071487\; \middle|\; n \in \mathbb{Z}\right\}\\x &= \left\{\pi + 2 \pi n + \arctan{\left(2 \right)}\; \middle|\; n \in \mathbb{Z}\right\} \approx \left\{6.2831853 n + 4.2487414\; \middle|\; n \in \mathbb{Z}\right\}\end{aligned}\]